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We examine the practicality for a user of using Answer Set Programming (ASP) for representing logical formalisms. Our example is a formalism aiming at capturing causal explanations from causal information. We show the naturalness and…

Artificial Intelligence · Computer Science 2020-07-17 Yves Moinard

We present a Bounded Model Checking technique for higher-order programs. The vehicle of our study is a higher-order calculus with general references. Our technique is a symbolic state syntactical translation based on SMT solvers, adapted to…

Programming Languages · Computer Science 2018-04-06 Yu-Yang Lin , Nikos Tzevelekos

Answer set programming (ASP) is a popular nonmonotonic-logic based paradigm for knowledge representation and solving combinatorial problems. Computing the answer set of an ASP program is NP-hard in general, and researchers have been…

Logic in Computer Science · Computer Science 2021-09-21 Fang Li

Language is an effective medium for bi-directional communication in human-robot teams. To infer the meaning of many instructions, robots need to construct a model of their surroundings that describe the spatial, semantic, and metric…

Robotics · Computer Science 2019-09-24 Ethan Fahnestock , Siddharth Patki , Thomas M. Howard

We encode arrays as functions which, in turn, are encoded as sets of ordered pairs. The set cardinality of each of these functions coincides with the length of the array it is representing. Then we define a fragment of set theory that is…

Logic in Computer Science · Computer Science 2026-05-12 Maximiliano Cristiá , Gianfranco Rossi

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

Supercompilation is a powerful program transformation technique with numerous interesting applications. Existing methods of supercompilation, however, are often very unpredictable with respect to the size of the resulting programs. We…

Programming Languages · Computer Science 2020-08-12 Dimitur Nikolaev Krustev

The higher-dimensional modal mu-calculus is an extension of the mu-calculus in which formulas are interpreted in tuples of states of a labeled transition system. Every property that can be expressed in this logic can be checked in…

Logic in Computer Science · Computer Science 2012-02-17 Martin Lange , Etienne Lozes

Symbolic computation is an important approach in automated program analysis. Most state-of-the-art tools perform symbolic computation as interpreters and directly maintain symbolic data. In this paper, we show that it is feasible, and in…

Programming Languages · Computer Science 2019-07-10 Henrich Lauko , Petr Ročkai , Jiří Barnat

We propose Object-oriented Neural Programming (OONP), a framework for semantically parsing documents in specific domains. Basically, OONP reads a document and parses it into a predesigned object-oriented data structure (referred to as…

Machine Learning · Computer Science 2018-07-26 Zhengdong Lu , Xianggen Liu , Haotian Cui , Yukun Yan , Daqi Zheng

Most ideas about what an algorithm is are very similar. Basic operations are used for transforming objects. The evaluation of internal and external states by relations has impact on the further process. A more precise definition can lead to…

Logic · Mathematics 2025-02-26 Christine Gaßner

Optimization under structural constraints is typically analyzed through projection or penalty methods, obscuring the geometric mechanism by which constraints shape admissible dynamics. We propose an operator-theoretic formulation in which…

Optimization and Control · Mathematics 2026-03-10 Changkai Li

Abstraction is a well-known approach to simplify a complex problem by over-approximating it with a deliberate loss of information. It was not considered so far in Answer Set Programming (ASP), a convenient tool for problem solving. We…

Logic in Computer Science · Computer Science 2021-07-01 Zeynep G. Saribatur , Thomas Eiter

In answer-set programming (ASP), the solutions of a problem are encoded in dedicated models, called answer sets, of a logical theory. These answer sets are computed from the program that represents the theory by means of an ASP solver and…

Logic in Computer Science · Computer Science 2011-10-12 Christian Kloimüllner , Johannes Oetsch , Jörg Pührer , Hans Tompits

Answer Set Programming (ASP) is a popular declarative reasoning and problem solving approach in symbolic AI. Its rule-based formalism makes it inherently attractive for explainable and interpretive reasoning, which is gaining importance…

Artificial Intelligence · Computer Science 2026-01-22 Thomas Eiter , Tobias Geibinger , Zeynep G. Saribatur

A unitary design is a collection of unitary matrices that approximate the entire unitary group, much like a spherical design approximates the entire unit sphere. In this paper, we use irreducible representations of the unitary group to find…

Combinatorics · Mathematics 2009-08-31 Aidan Roy , A. J. Scott

How best to quantify the information of an object, whether natural or artifact, is a problem of wide interest. A related problem is the computability of an object. We present practical examples of a new way to address this problem. By…

Artificial Intelligence · Computer Science 2011-06-14 Fionn Murtagh

We study abduction in First Order Horn logic theories where all atoms can be abduced and we are looking for preferred solutions with respect to three objective functions: cardinality minimality, coherence, and weighted abduction. We…

Artificial Intelligence · Computer Science 2018-02-01 Peter Schüller

Answer Set Programming (ASP) is a purely declarative formalism developed in the field of logic programming and nonmonotonic reasoning: computational problems are encoded by logic programs whose answer sets, corresponding to solutions, are…

Artificial Intelligence · Computer Science 2020-02-19 Francesco Calimeri , Simona Perri , Jessica Zangari

The Curry-Howard correspondence is about a relationship between types and programs on the one hand and propositions and proofs on the other. The implications for programming language design and program verification is an active field of…

Programming Languages · Computer Science 2015-09-15 Jørgen Steensgaard-Madsen