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We formally specified a program logic for higher-order procedural variables and non-local jumps with Ott and Twelf. Moreover, the dependent type systems and the translation are both executable specifications thanks to Twelf's logic…

Logic in Computer Science · Computer Science 2011-12-09 Tristan Crolard

Ackermann's function can be expressed using an iterative algorithm, which essentially takes the form of a term rewriting system. Although the termination of this algorithm is far from obvious, its equivalence to the traditional recursive…

Logic in Computer Science · Computer Science 2022-10-14 Lawrence C Paulson

This document describes the implementation in SML of the LoopW language, an imperative language with higher-order procedural variables and non-local jumps equiped with a program logic. It includes the user manual along with some…

Logic in Computer Science · Computer Science 2010-01-02 Emmanuel Polonowski

LF is a dependent type theory in which many other formal systems can be conveniently embedded. However, correct use of LF relies on nontrivial metatheoretic developments such as proofs of correctness of decision procedures for LF's…

Logic in Computer Science · Computer Science 2010-05-04 Christian Urban , James Cheney , Stefan Berghofer

The Partially Ordered Workflow Language (POWL) has recently emerged as a process modeling notation, offering strong quality guarantees and high expressiveness. However, its adoption is hindered by the prevalence of standard notations like…

Logic in Computer Science · Computer Science 2025-09-22 Humam Kourani , Gyunam Park , Wil van der Aalst

Operational semantics has established itself as a flexible but rigorous means to describe the meaning of programming languages. Oftentimes, it is felt necessary to keep a semantics small, for example to facilitate its use for model checking…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-17 Benjamin Morandi , Sebastian Nanz , Bertrand Meyer

We present a trustworthy connection between the Leon verification system and the Isabelle proof assistant. Leon is a system for verifying functional Scala programs. It uses a variety of automated theorem provers (ATPs) to check verification…

Logic in Computer Science · Computer Science 2016-07-07 Lars Hupel , Viktor Kuncak

An approach for encoding abstract dialectical frameworks and their semantics into classical higher-order logic is presented. Important properties and semantic relationships are formally encoded and proven using the proof assistant…

Logic in Computer Science · Computer Science 2026-04-08 Antoine Martina , Alexander Steen

We describe an approach to the verified implementation of transformations on functional programs that exploits the higher-order representation of syntax. In this approach, transformations are specified using the logic of hereditary Harrop…

Programming Languages · Computer Science 2016-01-26 Yuting Wang , Gopalan Nadathur

Higher-order logic HOL offers a very simple syntax and semantics for representing and reasoning about typed data structures. But its type system lacks advanced features where types may depend on terms. Dependent type theory offers such a…

Logic in Computer Science · Computer Science 2023-05-25 Colin Rothgang , Florian Rabe , Christoph Benzmüller

With the rapid development of IT operations, it has become increasingly crucial to efficiently manage and analyze large volumes of data for practical applications. The techniques of Natural Language Processing (NLP) have shown remarkable…

The Partially Ordered Workflow Language (POWL) has recently emerged as a process modeling notation, offering strong quality guarantees and high expressiveness. While early versions of POWL relied on strict block-structured operators for…

Databases · Computer Science 2026-04-27 Humam Kourani , Gyunam Park , Wil M. P. van der Aalst

To exploit the Web Ontology Language OWL as an answer set programming (ASP) language, we introduce the notion of bounded model semantics, as an intuitive and computationally advantageous alternative to its classical semantics. We show that…

Programming Languages · Computer Science 2015-11-04 Sarah Alice Gaggl , Sebastian Rudolph , Lukas Schweizer

OWLOOP is an Application Programming Interface (API) for using the Ontology Web Language (OWL) by the means of Object-Oriented Programming (OOP). It is common to design software architectures using the OOP paradigm for increasing their…

Artificial Intelligence · Computer Science 2022-01-03 Luca Buoncompagni , Syed Yusha Kareem , Fulvio Mastrogiovanni

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

Modern functional-logic programming languages like Toy or Curry feature non-strict non-deterministic functions that behave under call-time choice semantics. A standard formulation for this semantics is the CRWL logic, that specifies a proof…

Logic in Computer Science · Computer Science 2009-08-05 Francisco López Fraguas , Stephan Merz , Juan Rodríguez Hortalá

Relational program verification is a variant of program verification where one can reason about two programs and as a special case about two executions of a single program on different inputs. Relational program verification can be used for…

Programming Languages · Computer Science 2019-10-23 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Pierre-Yves Strub

A key feature of inductive logic programming (ILP) is its ability to learn first-order programs, which are intrinsically more expressive than propositional programs. In this paper, we introduce techniques to learn higher-order programs.…

Machine Learning · Computer Science 2019-07-26 Andrew Cropper , Rolf Morel , Stephen H. Muggleton

Dependently typed lambda calculi such as the Edinburgh Logical Framework (LF) are a popular means for encoding rule-based specifications concerning formal syntactic objects. In these frameworks, relations over terms representing formal…

Logic in Computer Science · Computer Science 2013-11-01 Mary Southern , Gopalan Nadathur

Formal semantics provides rigorous, mathematically precise definitions of programming languages, with which we can argue about program behaviour and program equivalence by formal means; in particular, we can describe and verify our…

Programming Languages · Computer Science 2020-11-23 Péter Bereczky , Dániel Horpácsi , Simon Thompson
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