wanyu/IteraTeR_v2 huggingface dataset:
Original:  Simulation results show that the algorithm introduced here achieves an improved quality of coverage and a significantly increased network lifetime compared to other distributed coverage algorithms.
Revised:  Simulation results show that it achieves a significant improvement in the quality of representation compared to other distributed coverage algorithms.
Edit intent: clarity
Original: We prove that for any graph with \omega > \frac 23(\Delta +1) , there exists a stable set intersecting every maximum clique.
Revised: We prove that for any graph with omega > \frac 23(\Delta +1) , there exists a stable set intersecting every maximum clique.
Edit intent: fluency
Original: We prove that for any graph with \omega > \frac 23(\Delta +1) , there exists a stable set intersecting every maximum clique.
Revised: We prove that for any graph with \omega > \frac 23(\Delta +1) contains a stable set intersecting every maximum clique.
Edit intent: clarity
Original:  Davis (2008) has argued otherwise, based on his finding of a 0.95 correlation coefficient between Eigenfactor score and total citations for a sample of journals in the field of medicine.
Revised:  Davis (2008) has argued otherwise, based on his finding of a 0.95 correlation coefficient between Eigenfactor score and Total Citations for a sample of journals in the field of medicine.
Edit intent: fluency
Original:  We also show fixed parameter tractability of Betweenness in tournaments and improved fixed parameter algorithms for Feedback Arc Set in tournaments and Kemeny Rank Aggregation.
Edit intent: coherence
Original:  The PageRank of a node is used in a number of application contexts - including web-page ranking - and can be interpreted as the average portion of time spent at the node by an infinite random walk in the graph .
Revised:  The PageRank of a node is used in a number of application contexts - including ranking websites - and can be interpreted as the average portion of time spent at the node by an infinite random walk in the graph .
Edit intent: clarity
Original:  The PageRank of a node is used in a number of application contexts - including web-page ranking - and can be interpreted as the average portion of time spent at the node by an infinite random walk in the graph .
Revised:  The PageRank of a node is used in a number of application contexts - including web-page ranking - and can be interpreted as the average portion of time spent at the node by an infinite random walk .
Edit intent: clarity
Original:  Our approach provides a linear programming formulation that can then be solved by standard techniques.
Revised:  Our core solution results in a linear programming formulation that can then be solved by standard techniques.
Edit intent: clarity
Original:  We also show in the paper that, under the slight modification of the problem for which we are given mutually exclusive pairs of edges, the problem of PageRank optimization becomes NP-hard.
Revised:  We also show in the paper that, under the slight modification for which we are given mutually exclusive pairs of edges, the problem of PageRank optimization becomes NP-hard.
Edit intent: fluency
Original: In this paper we develop a probabilistic micro-scale  model and use it to study macro-scale properties of axonal transport, the processes by which materials are moved in the axons of neurons.
Revised: In this paper we develop a probabilistic micro-scale model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons.
Edit intent: clarity
Original:  Then  using techniques from queueing theory, we can predict macroscopic behavior in order to investigate three important biological questions: (1) How homogeneous are axons at stochastic equilibrium?
Revised:  Then , using techniques from queueing theory, we can predict macroscopic behavior in order to investigate three important biological questions: (1) How homogeneous are axons at stochastic equilibrium?
Edit intent: fluency
Original:  Then  using techniques from queueing theory, we can predict macroscopic behavior in order to investigate three important biological questions: (1) How homogeneous are axons at stochastic equilibrium?
Revised:  Then using techniques from probability theory, we can predict macroscopic behavior in order to investigate three important biological questions: (1) How homogeneous are axons at stochastic equilibrium?
Edit intent: clarity
Original: In this paper, a structural property of the set of lozenge tilings of a 2n-gon is highlighted }  . We introduce a simple combinatorial value called Hamming-distance , which is a lower bound for the flipdistance (i. e. the number of necessary local transformations involving three lozenges) between two given tilings.
Revised: In this paper, a structural property of the set of lozenge tilings of a 2n-gon is highlighted } . We introduce a lower bound ( Hamming-distance , which is a lower bound for the flipdistance (i. e. the number of necessary local transformations involving three lozenges) between two given tilings.
Edit intent: coherence
Original: Coding standards and good practices are important for all software projects, whatever programming languages they employ.
Revised: Coding standards and good practices are fundamental to a disciplined approach to software projects, whatever programming languages they employ.
Edit intent: clarity
Original:  Arguably, Prolog programming can benefit from a disciplined approach more than programming in other languages.
Revised:  Prolog programming can benefit from a disciplined approach more than programming in other languages.
Edit intent: coherence
Original:  Arguably, Prolog programming can benefit from a disciplined approach more than programming in other languages.
Revised:  Arguably, Prolog programming can benefit from such an approach, perhaps more than programming in other languages.
Edit intent: clarity
Original:  The present paper aims at being a first step towards filling this gap .
Revised:  The present paper is a first step towards filling this gap .
Edit intent: clarity
Original:  The present paper aims at being a first step towards filling this gap .
Revised:  The present paper aims at being a first step towards filling this void: it provides immediate guidelines for code layout, naming conventions, documentation, proper use of Prolog features, program development, debugging and testing. Presented with each guideline is its rationale and, where sensible options exist, illustrations of the relative pros and cons for each alternative. A coding standard should always be selected on a per-project basis, based on a host of issues pertinent to any given programming project; for this reason the paper goes beyond the mere provision of normative guidelines by discussing key factors and important criteria that should be taken into account when deciding on a fully-fledged coding standard for the project .
Edit intent: coherence
Original: We examine Euclidean distance preserving data perturbation as a tool for privacy-preserving data mining.
Revised: We examine Euclidean distance-preserving data perturbation as a tool for privacy-preserving data mining.
Edit intent: fluency
Original:  Such perturbations allow many important data mining algorithms  , with only minor modification, to be applied to the perturbed data and produce exactly the same results as if applied to the original data , e. g. hierarchical clustering and k-means clustering.
Revised:  Such perturbations allow many important data mining algorithms , with only minor modification, to be applied to the perturbed data and produce exactly the same results as if applied to the original data .
Edit intent: coherence
Original:  However, the issue of how well the  original data is hidden needs careful study.
Revised:  However, the issue of how well the privacy of the original data is hidden needs careful study.
Edit intent: clarity
Original:  However, the issue of how well the  original data is hidden needs careful study.
Revised:  However, the issue of how well the original data is preserved needs careful study.
Edit intent: clarity
Original:  We take a step in this direction by assuming the role of an attacker armed with two types of prior information regarding the original data.
Revised:  We engage in this study by assuming the role of an attacker armed with two types of prior information regarding the original data.
Edit intent: clarity
Original: Relational descriptions have been widely used in formalizing computational notions such as operational semanticsand typing .
Revised: Relational descriptions have been used in formalizing computational notions such as operational semanticsand typing .
Edit intent: clarity
Original:  Once such a logic is fixed, a natural next question is what devices should be used to prove theorems about specifications written in it.
Revised:  Once such a logic is fixed, a natural next question is how we might prove theorems about specifications written in it.
Edit intent: clarity
Original:  We propose  a second logic, called the reasoning logic, to reason about provability in the first logic.
Revised:  We propose to use a second logic, called the reasoning logic, to reason about provability in the first logic.
Edit intent: coherence
Original:  We propose  a second logic, called the reasoning logic, to reason about provability in the first logic.
Revised:  We propose a second logic, called a reasoning logic, to reason about provability in the first logic.
Edit intent: fluency
Original:  Associated with the latter logic are various notions of binding: for quantifiers within formulas, for eigenvariables within sequents, and for abstractions within terms.
Revised:  Associated with the specification logic are various notions of binding: for quantifiers within formulas, for eigenvariables within sequents, and for abstractions within terms.
Edit intent: clarity
Original:  To provide a natural treatment of these aspects, the reasoning logic must encode binding structures as well as their associated notions of scope, free / bound variables, and capture-avoiding substitution.
Revised:  To provide a natural treatment of these aspects, the reasoning logic must encode binding structures as well as their associated notions of scope, free and bound variables, and capture-avoiding substitution.
Edit intent: fluency
Original:  We provide these capabilities here by using a logic called G which represents relations over lambda-terms via definitions of atomic judgments, contains inference rules for induction and co-induction, and includes a special quantifier called nabla and a related generalization of equality over lambda-terms called nominal abstraction .
Revised:  We provide these capabilities here by using a logic called G which represents relations over lambda-terms via definitions of atomic judgments, contains inference rules for induction and co-induction, and includes a special generic quantifier .
Edit intent: clarity
Original:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover  Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella  .
Revised:  We show how provability in the specification logic can be transparently encoded in G. We also describe an interactive theorem prover Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella .
Edit intent: fluency
Original:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover  Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella  .
Revised:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover called Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella .
Edit intent: clarity
Original:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover  Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella  .
Revised:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover Abella that implements G and this two-level logic approach and we present several examples that demonstrate the efficacy of Abella .
Edit intent: coherence
Original:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover  Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella  .
Revised:  We show how provability in the specification logic can be transparently encoded in G. We also describe the interactive theorem prover Abella that implements G and this two-level logic approach and we present several examples to show the efficacy of Abella in reasoning about computations .
Edit intent: clarity
Original:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Revised:  Besides generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Edit intent: clarity
Original:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Revised:  We consider three base categories of Chu spaces: the generic Chu spaces %DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Edit intent: fluency
Original:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Revised:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Edit intent: clarity
Original:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Revised:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Edit intent: coherence
Original:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Revised:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E %DIFDELCMD < {\bf %%% B ).
Edit intent: coherence
Original:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% B ).
Revised:  We consider three base categories of Chu spaces: the generic Chu spaces (%DIFDELCMD < {\bf %%% C ), the extensional Chu spaces (%DIFDELCMD < {\bf %%% E ), and the biextensional Chu spaces (%DIFDELCMD < {\bf %%% ).
Edit intent: coherence
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of the desired colimits. In each case, we provide a characterization of finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: clarity
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of the finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: fluency
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in terms of monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: clarity
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in each of the corresponding categories using monomorphisms/injections %DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: coherence
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: coherence
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC %DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: fluency
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% , and%DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: clarity
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE %DIFDELCMD < {\bf %%% iB , respectively);
Edit intent: coherence
Original:  (2) existence (or the lack thereof) of colimits and a characterization of  finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% iB , respectively);
Revised:  (2) existence (or the lack thereof) of colimits and a characterization of finite objects in each of the corresponding categories using monomorphisms/injections (denoted as%DIFDELCMD < {\bf %%% iC ,%DIFDELCMD < {\bf %%% iE , and%DIFDELCMD < {\bf %%% , respectively);
Edit intent: coherence
Original:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Revised:  Unanticipated results driving this development include the fact that %DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Edit intent: coherence
Original:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Revised:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Edit intent: clarity
Original:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Revised:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C %DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Edit intent: coherence
Original:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Revised:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E %DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Edit intent: coherence
Original:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% B , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Revised:  Unanticipated results driving this development include the fact that : (a) in%DIFDELCMD < {\bf %%% C , a morphism (f,g) is monic iff f is injective and g is surjective while for%DIFDELCMD < {\bf %%% E and%DIFDELCMD < {\bf %%% , (f,g) is monic iff f is injective (but g is not necessarily surjective);
Edit intent: coherence