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Provability in product logic     Provability  product logic       font style='font-size:12px;'> 2015/9/30
We sharpen H丩ajek乫s Completeness Theorem for theories extending predicate product logic, 儺佂. By relating provability in this system to embedding properties of ordered abelian groups we construct a ...
Why the Logical Disjunction in Quantum Logic is Not Classical     Not Classical  Quantum Logic       font style='font-size:12px;'> 2015/7/30
In this paper, the quantum logical ‘or’ is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration...
视频:浙江技术学院离散数学授课——命题逻辑Logic(2)。
视频:浙江技术学院离散数学授课——命题逻辑Logic
Base-X Notation and Tri-Value Logic     Index Terms—Base-X Notation   Tri-Value Logic       font style='font-size:12px;'> 2013/1/30
This paper introduces the base-X notation and discusses the conversion between numbers of different bases. It also introduces the tri-value logic that is associated with the base-3 system.
Abstract: We solve a generalization of B\"uchi's problem in any exponent for function fields, and briefly discuss some consequences on undecidability. This provides the first example where this proble...
Modeling of complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea b...
Traditionally, communication networks are modeled and analyzed in terms of information flows in graphs. In this paper, we introduce a new symbolic approach to communication networks, where the topolo...
We first briefly describe an algebraic model of classical and modal many-valued logics due to the authors and introduced in previous works. A similar approach, also using Computer Algebra techniques (...
Association for Symbolic Logic(USA)     数理逻辑  逻辑符号  symbolic logic       font style='font-size:12px;'> 2007/12/21
The Association for Symbolic Logic is an international organization supporting research and critical studies in logic. Its primary function is to provide an effective forum for the presentation, publi...

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