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This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend transformation methods based on integer TRSs to handle…

Logic in Computer Science · Computer Science 2025-09-01 Carsten Fuhs , Cynthia Kop , Naoki Nishida

Students of our department solve algebraic exercises in mathematical logic in a computerized environment. They construct transformations step by step and the program checks the syntax, equivalence of expressions and completion of the task.…

Symbolic Computation · Computer Science 2013-07-01 Rein Prank

We present a system for the automatic differentiation of a higher-order functional array-processing language. The core functional language underlying this system simultaneously supports both source-to-source automatic differentiation and…

Mathematical Software · Computer Science 2018-06-07 Amir Shaikhha , Andrew Fitzgibbon , Dimitrios Vytiniotis , Simon Peyton Jones , Christoph Koch

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

Language sciences rely less and less on formal syntax as their base. The reason is probably its lack of psychological reality, knowingly avoided. Philosophers of science call for a paradigm shift in which explanations are by mechanisms, as…

Computation and Language · Computer Science 2022-05-26 Anat Ninio

We discuss proving correctness and completeness of definite clause logic programs. We propose a method for proving completeness, while for proving correctness we employ a method which should be well known but is often neglected. Also, we…

Logic in Computer Science · Computer Science 2017-01-31 Włodzimierz Drabent

We extend a technique called Compiling Control. The technique transforms coroutining logic programs into logic programs that, when executed under the standard left-to-right selection rule (and not using any delay features) have the same…

Programming Languages · Computer Science 2017-08-28 Vincent Nys , Danny De Schreye

There has recently been an increasing interest in declarative data analysis, where analytic tasks are specified using a logical language, and their implementation and optimisation are delegated to a general-purpose query engine. Existing…

Artificial Intelligence · Computer Science 2018-04-26 Mark Kaminski , Bernardo Cuenca Grau , Egor V. Kostylev , Boris Motik , Ian Horrocks

This Survey provides an overview of techniques in termination analysis for programs with numerical variables and transitions defined by linear constraints. This subarea of program analysis is challenging due to the existence of undecidable…

Programming Languages · Computer Science 2026-01-27 Amir M. Ben-Amram , Samir Genaim , Joël Ouaknine , James Worrell

Logic program transformation by the unfold/fold method ad- vocates the writing of correct logic programs via the application of some rules to a naive program. This work focuses on how to overcome subgoal- introduction difficulties in…

Programming Languages · Computer Science 2018-10-05 Manuel Hernández

Datalog has become a popular language for writing static analyses. Because Datalog is very limited, some implementations of Datalog for static analysis have extended it with new language features. However, even with these features it is…

Programming Languages · Computer Science 2018-09-18 Aaron Bembenek , Stephen Chong

We propose a new declarative planning language, called K, which is based on principles and methods of logic programming. In this language, transitions between states of knowledge can be described, rather than transitions between completely…

Artificial Intelligence · Computer Science 2008-02-21 Thomas Eiter , Wolfgang Faber , Nicola Leone , Gerald Pfeifer , Axel Polleres

Logic Programming is a Turing complete language. As a consequence, designing algorithms that decide termination and non-termination of programs or decide inductive/coinductive soundness of formulae is a challenging task. For example, the…

Logic in Computer Science · Computer Science 2017-07-26 Ekaterina Komendantskaya , Yue Li

We recommend a programming construct - availability check - for programs that need to automatically adjust to presence or absence of segments of code. The idea is to check the existence of a valid definition before a function call is…

Programming Languages · Computer Science 2007-05-23 Joy Mukherjee , Srinidhi Varadarajan

Many software development problems can be addressed by program analysis tools, which traditionally are based on precise, logical reasoning and heuristics to ensure that the tools are practical. Recent work has shown tremendous success…

Software Engineering · Computer Science 2021-04-09 Michael Pradel , Satish Chandra

We present CurryCheck, a tool to automate the testing of programs written in the functional logic programming language Curry. CurryCheck executes unit tests as well as property tests which are parameterized over one or more arguments. In…

Programming Languages · Computer Science 2016-08-22 Michael Hanus

Though many safety-critical software systems use floating point to represent real-world input and output, programmers usually have idealized versions in mind that compute with real numbers. Significant deviations from the ideal can cause…

Logic in Computer Science · Computer Science 2018-05-02 Benjamin Sherman , Luke Sciarappa , Adam Chlipala , Michael Carbin

Logic programming languages present clear advantages in terms of declarativeness and conciseness. However, the ideas of logic programming have been met with resistance in other programming communities, and have not generally been adopted by…

Programming Languages · Computer Science 2026-01-08 Ivan Perez , Angel Herranz

We present an algebraic view on logic programming, related to proof theory and more specifically linear logic and geometry of interaction. Within this construction, a characterization of logspace (deterministic and non-deterministic)…

Logic in Computer Science · Computer Science 2014-06-10 Clément Aubert , Marc Bagnol , Paolo Pistone , Thomas Seiller

Automated analysis of recursive derivations in logic programming is known to be a hard problem. Both termination and non-termination are undecidable problems in Turing-complete languages. However, some declarative languages offer a…

Programming Languages · Computer Science 2016-08-22 E. Komendantskaya , P. Johann , M. Schmidt