We define a simple variation of the standard Kripke semantics motivated by the connection between constructive logic and the Medvedev lattice. We show that while the new semantics is still complete, it gives a simple and direct correspondence between Kripke models and algebraic structures such as factors of the Medvedev lattice.
机构:
Institute for Discrete Mathematics and Geometry, Technical University of Vienna, A-1040 ViennaInstitute for Discrete Mathematics and Geometry, Technical University of Vienna, A-1040 Vienna
机构:
Huaibei Coal Ind Teachers Coll, Dept Math, Huaibei 235000, Peoples R ChinaHuaibei Coal Ind Teachers Coll, Dept Math, Huaibei 235000, Peoples R China
Jiang Guanghao
Shi Weixue
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机构:
Nanjing Univ, Dept Math, Nanjing 210093, Peoples R ChinaHuaibei Coal Ind Teachers Coll, Dept Math, Huaibei 235000, Peoples R China