| Abstract | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | Preliminaries | .... 3 |
| 2.1 | Boolean Grobner bases | .... 3 |
| 2.2 | Weak Grobner bases | .... 4 |
| 3 | Main results | .... 5 |
| 3.1 | Characterization of Boolean Grobner bases | .... 6 |
| 3.2 | Detching redundant critical Polynomials | .... 6 |
| 4 | Experimental Data | .... 8 |
| References | .... 9 |
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