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- Viliam Slodicák, Pavol Macko
- Electr. Notes Theor. Comput. Sci.
- 2011

SUMMARY In our paper we follow the development of our approach of regarding programming as logical reasoning in intuitionistic linear logic. We present basic notions of linear logic and its deduction system and we define categorical semantics of linear logic as a symmetric monoidal closed category. Then we construct linear type theory over linear Church's… (More)

- Cs. Szabo, V. Slodicak
- 2011 IEEE 9th International Symposium on Applied…
- 2011

This paper includes a contribution to explaining category theory using software engineering tasks and vice versa. First, basics of category theory are presented. A couple of examples follow including definitions of categories for web services and/or ones that use 2D/3D points as objects and computer graphics transformations as morphisms. Another category is… (More)

- Viliam Slodicák, Pavol Macko, Valerie Novitzká
- CEFP
- 2011

Solving the problems by computers we always start with formulation of their theoretical foundations. We use necessary mathematical theories and reason in them to obtain expected results. In this contribution we assume a theoretical description of programming process as logical reasoning over axiomatized theories. We consider intuitionistic logical reasoning… (More)

Linear logic provides a logical perspective on computational issues such as control of resources and order of evaluation. The most important feature of linear logic is that formulas are considered as actions. While classical logic treats the sentences that are always true or false, in linear logic it depends on an internal state of a dynamic system.… (More)

- V. Slodicak
- 2008 6th International Symposium on Applied…
- 2008

In the contribution presented we deal with one method of stochastic programming - probabilistic programming. Probabilistic programming is a method of stochastic programming in which the probabilities of the values of the variables are of interest. Our approach is that scientific problem solving we can construct in logical reasoning over some mathematical… (More)

- Stefan Korecko, Ján Marcincin, Viliam Slodicák
- Petri Nets
- 2012

SUMMARY In the article presented we deal with one method of stochastic programming – probabilistic programming. It is a programming in which the probabilities of the values of the variables are of interest. Our approach is that solving problem we can construct in logical reasoning over some mathematical theories. In this approach we use category theory for… (More)

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