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The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first part we introduce and discuss the main philosophical ideas related to proof theory, and we try to identify criteria for distinguishing good sequent calculi. In the second part we present  the several attempts made from the 50’s until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main results that can be proved with and about them.  .

Logic, Symbolic and mathematical. --- Philosophy & Religion --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Philosophy --- Proposition (Logic) --- Propositional calculus. --- Calculus, Propositional --- Philosophy. --- Computer graphics. --- Mathematics. --- Linguistics. --- Philosophy, general. --- Mathematics, general. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Linguistics, general. --- Linguistic science --- Science of language --- Language and languages --- Math --- Science --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Mental philosophy --- Humanities --- Digital techniques --- Logic, Symbolic and mathematical --- Language and logic --- Logic --- Philosophy (General). --- Computer vision. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment --- Digital techniques. --- Digital image processing --- Digital electronics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first part we introduce and discuss the main philosophical ideas related to proof theory, and we try to identify criteria for distinguishing good sequent calculi. In the second part we present  the several attempts made from the 50's until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main results that can be proved with and about them.  

Philosophy --- Mathematics --- Artificial intelligence. Robotics. Simulation. Graphics --- Linguistics --- filosofie --- grafische vormgeving --- linguïstiek --- wiskunde --- KI (kunstmatige intelligentie)