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We report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is…

Logic in Computer Science · Computer Science 2013-06-25 Nikolaj Bjorner , Ken McMillan , Andrey Rybalchenko

In this work we present the first version of ROSA Analyser, a tool designed to get closer to a fully automatic process of analysing the behaviour of a system specified as a process of the Markovian Process Algebra ROSA. In this first…

Software Engineering · Computer Science 2012-07-12 Raúl Pardo , Fernando L. Pelayo

To appear in Theory and Practice of Logic Programming (TPLP), 2008. We are researching the interaction between the rule and the ontology layers of the Semantic Web, by comparing two options: 1) using OWL and its rule extension SWRL to…

Artificial Intelligence · Computer Science 2007-11-22 Ken Samuel , Leo Obrst , Suzette Stoutenberg , Karen Fox , Paul Franklin , Adrian Johnson , Ken Laskey , Deborah Nichols , Steve Lopez , Jason Peterson

Visual analytics (VA) workflows are inherently complex, involving data transformation, feature engineering, visual representation, and human interpretation. They are typically described in unstructured prose, hindering systematic…

Artificial Intelligence · Computer Science 2026-05-26 Natalia Andrienko , Gennady Andrienko , Jürgen Bernard , Michael Sedlmair

Simulink is a widely used model-based development environment for embedded systems. Stateflow is a component of Simulink for modeling event-driven control via hierarchical state machines and flow charts. However, Stateflow lacks an official…

Formal Languages and Automata Theory · Computer Science 2022-07-26 Shicheng Yi , Shuling Wang , Bohua Zhan , Naijun Zhan

Logical frameworks based on intuitionistic or linear logics with higher-type quantification have been successfully used to give high-level, modular, and formal specifications of many important judgments in the area of programming languages…

Logic in Computer Science · Computer Science 2007-05-23 Raymond C. McDowell , Dale A. Miller

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-04-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

We present a Coq formalisation of the small-step operational semantics of Jafun, a small Java-like language with classes. This format of semantics makes it possible to naturally specify and prove invariants that should hold at each…

Logic in Computer Science · Computer Science 2018-08-17 Aleksy Schubert , Jacek Chrząszcz

Koopman analysis of a general dynamics system provides a linear Koopman operator and an embedded eigenfunction space, enabling the application of standard techniques from linear analysis. However, in practice, deriving exact operators and…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Alexander Estornell , Leonard Jung , Alenna Spiro , Mario Sznaier , Michael Everett

We present the guarded lambda-calculus, an extension of the simply typed lambda-calculus with guarded recursive and coinductive types. The use of guarded recursive types ensures the productivity of well-typed programs. Guarded recursive…

Logic in Computer Science · Computer Science 2019-03-14 Ranald Clouston , Aleš Bizjak , Hans Bugge Grathwohl , Lars Birkedal

Proof assistants, such as Isabelle/HOL, offer tools to facilitate inductive theorem proving. Isabelle experts know how to use these tools effectively; however, they did not have a systematic way to encode their expertise. To address this…

Logic in Computer Science · Computer Science 2019-07-08 Yutaka Nagashima

Calculi with control operators have been studied to reason about control in programming languages and to interpret the computational content of classical proofs. To make these calculi into a real programming language, one should also…

Logic in Computer Science · Computer Science 2012-10-12 Robbert Krebbers

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

Mission-time Linear Temporal Logic (MLTL), a widely used subset of popular specification logics like STL and MTL, is often used to model and verify real world systems in safety-critical contexts. As the results of formal verification are…

Logic in Computer Science · Computer Science 2025-01-30 Zili Wang , Katherine Kosaian , Kristin Yvonne Rozier

Inspired by the trend on unifying theories of programming, this paper shows how the algebraic treatment of standard data dependency theory equips relational data with functional types and an associated type system which is useful for type…

Logic in Computer Science · Computer Science 2012-10-18 Jose N. Oliveira

This paper aims at carrying out termination proofs for simply typed higher-order calculi automatically by using ordering comparisons. To this end, we introduce the computability path ordering (CPO), a recursive relation on terms obtained by…

Logic in Computer Science · Computer Science 2019-03-14 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio

We consider prescriptive type systems for logic programs (as in Goedel or Mercury). In such systems, the typing is static, but it guarantees an operational property: if a program is "well-typed", then all derivations starting in a…

Logic in Computer Science · Computer Science 2007-05-23 Pierre Deransart , Jan-Georg Smaus

Graphs are a generalized concept that encompasses more complex data structures than trees, such as difference lists, doubly-linked lists, skip lists, and leaf-linked trees. Normally, these structures are handled with destructive assignments…

Programming Languages · Computer Science 2022-09-13 Jin Sano , Naoki Yamamoto , Kazunori Ueda

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-06-03 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

Over the last decades, progress in modal analysis has enabled increasingly routine use of modal parameters for applications such as structural health monitoring and finite element model updating. For output-only identification, or…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gabriele Dessena , Marco Civera , Oscar E. Bonilla-Manrique