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In this paper we investigate the theoretical foundation of a new bottom-up semantics for linear logic programs, and more precisely for the fragment of LinLog that consists of the language LO enriched with the constant 1. We use constraints…

Programming Languages · Computer Science 2007-05-23 Marco Bozzano , Giorgio Delzanno , Maurizio Martelli

In this survey, we present in a unified way the categorical and syntactical settings of coherent differentiation introduced recently, which shows that the basic ideas of differential linear logic and of the differential lambda-calculus are…

Logic in Computer Science · Computer Science 2024-01-29 Thomas Ehrhard

Regular cost functions have been introduced recently as an extension to the notion of regular languages with counting capabilities, which retains strong closure, equivalence, and decidability properties. The specificity of cost functions is…

Logic in Computer Science · Computer Science 2017-02-09 Denis Kuperberg

The task of inferring logical formulas from examples has garnered significant attention as a means to assist engineers in creating formal specifications used in the design, synthesis, and verification of computing systems. Among various…

Logic in Computer Science · Computer Science 2025-06-04 Benjamin Bordais , Daniel Neider

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process…

Programming Languages · Computer Science 2018-12-04 Petros Papapanagiotou , Jacques Fleuriot

Our goal is to study the feasibility of porting termination analysis techniques developed for one programming paradigm to another paradigm. In this paper, we show how to adapt termination analysis techniques based on polynomial…

Programming Languages · Computer Science 2009-12-23 Manh Thang Nguyen , Danny De Schreye , Jürgen Giesl , Peter Schneider-Kamp

CiaoPP is an analyzer and optimizer for logic programs, part of the Ciao Prolog system. It includes PLAI, a fixpoint algorithm for the abstract interpretation of logic programs which we adapt to use tabled constraint logic programming. In…

Programming Languages · Computer Science 2019-08-02 Joaquin Arias , Manuel Carro

This paper proposes the use of Constraint Logic Programming (CLP) to model SQL queries in a data-independent abstract layer by focusing on some semantic properties for signalling possible errors in such queries. First, we define a…

Databases · Computer Science 2020-02-19 Fernando Sáenz-Pérez

Static analyses overwhelmingly trade precision for soundness and automation. For this reason, their use-cases are restricted to situations where imprecision isn't prohibitive. In this paper, we propose and specify a static analysis that…

Programming Languages · Computer Science 2026-02-10 Abdullah H. Rasheed

Recent constraint logic programming (CLP) languages, such as HAL and Mercury, require type, mode and determinism declarations for predicates. This information allows the generation of efficient target code and the detection of many errors…

Programming Languages · Computer Science 2010-09-03 Maria Garcia de la Banda , Warwick Harvey , Kim Marriott , Peter J. Stuckey , Bart Demoen

Loop acceleration can be used to prove safety, reachability, runtime bounds, and (non-)termination of programs. To this end, a variety of acceleration techniques has been proposed. However, so far all of them have been monolithic, i.e., a…

Logic in Computer Science · Computer Science 2022-06-09 Florian Frohn , Carsten Fuhs

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

We present a new characterization of termination of general logic programs. Most existing termination analysis approaches rely on some static information about the structure of the source code of a logic program, such as modes/types,…

Logic in Computer Science · Computer Science 2007-05-23 Yi-Dong Shen , Jia-Huai You , Li-Yan Yuan , Samuel S. P. Shen , Qiang Yang

The notion of a non-deterministic logical matrix (where connectives are interpreted as multi-functions) extends the traditional semantics for propositional logics based on logical matrices (where connectives are interpreted as functions).…

Logic · Mathematics 2024-12-19 Carlos Caleiro , Pedro Filipe , Sérgio Marcelino

Our goal is to define an algebraic language for reasoning about non-deterministic computations. Towards this goal, we introduce an algebra of string-to-string transductions. Specifically, it is an algebra of partial functions on words over…

Logic in Computer Science · Computer Science 2023-11-22 Eugenia Ternovska

Logics and automata models for languages over infinite alphabets, such as Freeze LTL and register automata, serve the verification of processes or documents with data. They relate tightly to formalisms over nominal sets, such as…

Formal Languages and Automata Theory · Computer Science 2021-08-23 Daniel Hausmann , Stefan Milius , Lutz Schröder

The characterisation of termination using well-founded monotone algebras has been a milestone on the way to automated termination techniques, of which we have seen an extensive development over the past years. Both the semantic…

Logic in Computer Science · Computer Science 2015-07-01 Joerg Endrullis , Roel de Vrijer , Johannes Waldmann

Proving failure of queries for definite logic programs can be done by constructing a finite model of the program in which the query is false. A general purpose model generator for first order logic can be used for this. A recent paper…

Logic in Computer Science · Computer Science 2007-05-23 Nikolay Pelov , Maurice Bruynooghe

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

The use of non-deterministic functions is a distinctive feature of modern functional logic languages. The semantics commonly adopted is call-time choice, a notion that at the operational level is related to the sharing mechanism of lazy…

Programming Languages · Computer Science 2009-03-13 Francisco Javier Lopez-Fraguas , Juan Rodriguez-Hortala , Jaime Sanchez-Hernandez
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